Recent research achievements include: development of analytic and hydrodynamic plasma models for the multiphased structures of the circumgalactic medium around galaxies; fundamental theory for the atomic to molecular transition in star-forming interstellar gas clouds; computation of the chemical and thermal phase properties of the neutral interstellar medium in the first galaxies in the young Universe; analysis and observations of galaxy rotation curves and dark matter properties at the peak epoch of cosmic star-formation; simulations of Lyman alpha emitting cosmic filaments in cosmological hydrodynamics; numerical hydrodynamic modeling of evolving supernova shells.